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2 years ago

A parabola is the set of all points that:

Mathematics

2 answers:

Verdich [7]2 years ago

8 0

Answer:

Option C is the correct answer.

Step-by-step explanation:

A parabola is the set of all points that is equal distance from focus and directrix.

We know that focus is a point and directrix is a line.

Option A:

A parabola is the set of all points that are the same distance from two lines.

Option A is wrong.

Option B:

A parabola is the set of all points that are the same distance from one point.

Option B is wrong.

Option C:

A parabola is the set of all points that are the same distance from a point and a line.

Option C is correct.

Option D:

A parabola is the set of all points that are the same distance from two points.

Option D is wrong.

So, Option C is the correct answer.

lord [1]2 years ago

6 0

Answer:

Option C.

Step-by-step explanation:

Option C. A parabola is a set of all points that are the same distance from a point called focus and a line called vertex.

You might be interested in

What are the measures of Angles a, b, and c? Show your work and explain your answers.

andreev551 [17]

Answers: ∠a = 30° ; ∠b = 60° ; ∠c = 105°.
_____________________________________________
1) The measure of Angle a is 30°. (m∠a = 30°).
Proof: All vertical angles are congruent, and we are shown in the diagram that angle A — AND the angle labeled with the measurement of 30°— are vertical angles.

2) The measure of Angle b is 60°. (m∠b = 60°).
Proof: All three angles of a triangle add up to 90 degrees. In the diagram, we can examine the triangle formed by Angle A, Angle B, and a 90° angle. This is a right triangle, and the angle with 90∠ degrees is indicated as such (with the "square" symbol). So we know that one angle is 90°. We also know that m∠a = 30°. If there are three angles in a triangle, and all three angles must add up to 180°, and we know the measurements of two of the three angles, we can solve for the unknown measurement of the remaining angle, which in this case is: m∠b.
90° + 30° + m∠b = 180° ;
180° - (90° + 30°) = m∠b ;
180° - (120°) = m∠b = 60°
___________________________
Now we need to solve for the measure of Angle c (m∠c).
___________________________________________
All angles on a straight line (or straight "line segment") are called "supplementary angles" and must add up to 180°. As shown, Angle c is on a "straight line". The measurement of the remaining angle represented ("supplementary angle" to Angle c is 75° (shown on diagram). As such, the measure of "Angle C" (m∠c) = m∠c = 180° - 75° = 105°.

6 0

3 years ago

Read 2 more answers

12.) Write y = 1/6 x + 7 in standard form using integers.

Trava [24]

Option A

-x + 6y = 42 is the standard form

Solution:

Given that we have to write $y = \frac{1}{6}x+7$ in standard form

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Given equation is:

$y = \frac{1}{6}x+7$

Let us convert the above equation into standard form

$y = \frac{x}{6} + 7$

$y = \frac{x}{6} + \frac{7}{1}$

Make the denominator same in R.H.S

$y = \frac{x}{6} + \frac{7 \times 6}{1 \times 7}$

Solve the above equation

$y = \frac{x}{6} + \frac{42}{6}$

$y = \frac{x+42}{6}$

Move 6 from R.H.S to L.H.S

$6y = x + 42$

Bring all the terms to one side, leaving only constant on R.H.S

$-x + 6y = 42$

The above equation is of form Ax + By = C

Thus option A is correct

3 0

2 years ago

Please help me hahahhahahhahahhhhhhshshs can

Volgvan

Answer:

The slope of this line is -2/3x.

Step-by-step explanation:

The slope can be found by getting x1 and y1 (0,3) and x2 and y2 (3,1). Once you have these you would do y2 - y1 / x2 - x1.

And the equation then is

1 - 3 / 3 - 0. After simplifying this you get -2/3.

4 0

2 years ago

Stephan monthly pay stub indicates that his monthly gross income is 3800 however 800 is withheld for income and social security

Stels [109]

Step-by-step explanation:

3800 is the general amount, but before he can touch it, 800 and 200 are taken away from it for the described purposes.

so, what is left is

3800 - 800 - 200 = 2800

this is then the real amount he can do something with.

6 0

1 year ago

Saige's spaceship traveled 588588588 kilometers (\text{km})(km)left parenthesis, start text, k, m, end text, right parenthesis i

lesantik [10]

Answer:

A is proportional

B and C are NOT proportional

Step-by-step explanation:

First, simplify 588 and 60:

588 divided by 6

60 divided by 6

= 98

Simplify them again by dividing them both by 2

= 49

Let's look at A:

441 and 45

Simplify by dividing by 9

= 49

It's pretty obvious that A is proportional because the simplified values are exactly the same.

Next, let's check B:

215 and 25

Simplify by dividing by 5

= 43

Now that its simplified you can compare

43 is smaller than 49

5 5

B is not proportional

Finally, let's check C:

649 and 110

Simplify by dividing by 11

= 51

Make 51 and 49 have the same denominator so we can compare them

10 5

51 can stay the same because 5 times 2 equals 10

49 times 2

5 times 2

= 98

Now that the denominators are the same we can compare

51 is much smaller than 98

10 10

Therefore, C is also not proportional.

Hope that helps :D

8 0

3 years ago

Read 2 more answers